322137653376 has 1536 divisors, whose sum is σ = 1230707520000. Its totient is φ = 74180198400.

The previous prime is 322137653371. The next prime is 322137653437. The reversal of 322137653376 is 673356731223.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2857680) is a multiple of the sum of its prime factors (147).

It is not an unprimeable number, because it can be changed into a prime (322137653371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7857015916 + ... + 7857015956.

It is an arithmetic number, because the mean of its divisors is an integer number (801241875).

Almost surely, 2^322137653376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322137653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760000).

322137653376 is an abundant number, since it is smaller than the sum of its proper divisors (908569866624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

322137653376 is a wasteful number, since it uses less digits than its factorization.

322137653376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 48.

The spelling of 322137653376 in words is "three hundred twenty-two billion, one hundred thirty-seven million, six hundred fifty-three thousand, three hundred seventy-six".